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int(x^(9))/((4x^(2)+1)^(6))dx=...

`int(x^(9))/((4x^(2)+1)^(6))dx=`

A

`(1)/(5x) (4 +(1)/(x^2))^(-5) +c`

B

`(1)/(5) (4 +(1)/(x^2))^(-5) +C`

C

`(1)/(10 x) (1+4)^(-5) +C`

D

`(1)/(10) ((1)/(x^2 +4)^(-5))+c`

Text Solution

Verified by Experts

The correct Answer is:
D
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